Large time behaviour of semilinear stochastic partial differential equations perturbed by a mixture of Brownian and fractional Brownian motions
DOI10.1080/17442508.2023.2167518arXiv2301.02174OpenAlexW4319844542WikidataQ117220022 ScholiaQ117220022MaRDI QIDQ6057079
Rim Touibi, Marco E. Dozzi, Ekaterina Todorova Kolkovska, Jose Alfredo Lopez Mimbela
Publication date: 4 October 2023
Published in: Stochastics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2301.02174
Fractional processes, including fractional Brownian motion (60G22) Asymptotic behavior of solutions to PDEs (35B40) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58)
Cites Work
- Unnamed Item
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- Explosive solutions of stochastic reaction-diffusion equations in mean \(L^p\)-norm
- Semilinear stochastic equations with bilinear fractional noise
- Variational solutions for partial differential equations driven by a fractional noise
- Intrinsic ultracontractivity for general Lévy processes on bounded open sets
- Finite-time blowup and existence of global positive solutions of a semi-linear SPDE
- Integration with respect to fractal functions and stochastic calculus. I
- Differential equations driven by fractional Brownian motion
- Mixed fractional Brownian motion
- Tail estimates for exponential functionals and applications to SDEs
- The probability of finite-time blowup of a semi-linear SPDE with fractional noise
- Existence and uniqueness of mild solution to fractional stochastic heat equation
- Stochastic partial differential equations
- Stochastic calculus for fractional Brownian motion and related processes.
- Existence and Uniqueness of the Solution of Stochastic Differential Equation Involving Wiener Process and Fractional Brownian Motion with Hurst IndexH > 1/2
- Finite-Time Blowup and Existence of Global Positive Solutions of a Semi-linear Stochastic Partial Differential Equation with Fractional Noise
- The Malliavin Calculus and Related Topics
- Blowup estimates for a family of semilinear SPDEs with time-dependent coefficients
- Intrinsic ultracontractivity for non-symmetric Lévy processes
- Global and non-global solutions of a fractional reaction-diffusion equation perturbed by a fractional noise
- Existence and uniqueness of a mild solution to the stochastic heat equation with white and fractional noises
- Stochastic Partial Differential Equations with Levy Noise
- Exponential functionals of Brownian motion and related processes
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